Pith Number

pith:2ZDQ5AUE

pith:2011:2ZDQ5AUEIZ4QHLZQDBGT7OWCUH

not attested not anchored not stored refs pending

Special rank one groups with abelian unipotent subgroups are perfect

Anja Steinbach

arxiv:1108.6189 v1 · 2011-08-31 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ZDQ5AUEIZ4QHLZQDBGT7OWCUH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:14:26.878868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6470e8284467903af30184d3fbac2a1fe10bfed2ab9887534bdc06d269d3d90

Aliases

arxiv: 1108.6189 · arxiv_version: 1108.6189v1 · doi: 10.48550/arxiv.1108.6189 · pith_short_12: 2ZDQ5AUEIZ4Q · pith_short_16: 2ZDQ5AUEIZ4QHLZQ · pith_short_8: 2ZDQ5AUE

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2ZDQ5AUEIZ4QHLZQDBGT7OWCUH \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d6470e8284467903af30184d3fbac2a1fe10bfed2ab9887534bdc06d269d3d90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "506e82bbb6400732b039e7be362c003a9ebe599650b8ab2b92f6800a20bc439c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-08-31T11:04:10Z",
    "title_canon_sha256": "4cbdf04858a589575be0960bef2890e15ede62ccf065b65a77ed280957fb7794"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.6189",
    "kind": "arxiv",
    "version": 1
  }
}